Question

Find the ordered triple of these equations.
X + y + z = 12
y = 1
X - Y - Z = 0

Answer 1

the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

Explanation:

Given the equations

`x + y + z = 12`

`y=1`

`x - y - z = 0`

As

`y=1`

We can get the value of x by adding the first and third equation

so

`x + y + z = 12`

`x-y-z=0`

so the equations become

`x+x+y-y+z-z=12+0`

`2x = 12`

`x = 6`

Putting x = 6 and y=1 in the first equation
`x+y+z=12`

`6 + 1+ z = 12`

`7 + z = 12\\z = 12 -7`

`z = 5`

Therefore, the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)